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Related papers: Towards finite density QCD with Taylor expansions

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We analyze general convergence properties of the Taylor expansion of observables to finite chemical potential in the framework of an effective 2+1 flavor Polyakov-quark-meson model. To compute the required higher order coefficients a novel…

High Energy Physics - Lattice · Physics 2011-11-29 Frithjof Karsch , Bernd-Jochen Schaefer , Mathias Wagner , Jochen Wambach

In this talk we extend the Polyakov-quark-meson model to N_f=2+1 quark flavors and study its bulk thermodynamics at finite temperatures in mean-field approximation. Three different Polyakov-loop potentials are considered. Our findings are…

High Energy Physics - Phenomenology · Physics 2014-11-20 Bernd-Jochen Schaefer , Mathias Wagner , Jochen Wambach

We discuss the phase structure and the equation of state for QCD at non-zero temperature and density. Derivatives of $\ln Z$ with respect to quark chemical potential $\mu_q$ up to fourth order are calculated for 2-flavor QCD, enabling…

High Energy Physics - Lattice · Physics 2008-11-26 Shinji Ejiri , Chris R. Allton , Simon J. Hands , Olaf Kaczmarek , Frithjof Karsch , Edwin Laermann , Christian Schmidt

We study QCD with 2+1 flavors at nonzero temperature and nonzero chemical potential. We present preliminary results obtained from lattice calculations performed with an improved staggered fermions action (p4-action) on lattice with temporal…

High Energy Physics - Lattice · Physics 2010-12-22 Rossella Falcone , Edwin Laermann , Maria Paola Lombardo

Thermodynamics of two-flavor QCD at finite temperature and density is studied on a $16^3 \times 4$ lattice, using a renormalization group improved gauge action and the clover improved Wilson quark action. In the simulations along lines of…

High Energy Physics - Lattice · Physics 2008-11-26 Y. Maezawa , S. Aoki , S. Ejiri , T. Hatsuda , N. Ishii , K. Kanaya , N. Ukita , T. Umeda

NJL-type effective models represent a low-energy realization of QCD and incorporate pertinent aspects such as chiral symmetry and its spontaneous breaking, the center symmetry in the heavy-quark limit as well as the axial anomaly. One such…

High Energy Physics - Phenomenology · Physics 2010-11-01 Jochen Wambach , Bernd-Jochen Schaefer , Mathias Wagner

The HotQCD Collaboration performed Taylor expansion calculations in 2017 for the pressure, energy density, and entropy density at non-zero chemical potentials up to the $6^{th}$ order. Since then, they have significantly improved the…

High Energy Physics - Lattice · Physics 2022-12-27 Jishnu Goswami

We present an update on our efforts to determine the Taylor coefficients of the $\mu/T$ expansion of the pressure for finite-density QCD. Here, we explore alternatives based on the Cauchy Residue Theorem, which allows us to use a…

High Energy Physics - Lattice · Physics 2018-12-04 Philippe de Forcrand , Benjamin Jäger

We determine the equation of state of QCD at finite chemical potential, to order $(\mu_B/T)^6$, for a system of 2+1 quark flavors. The simulations are performed at the physical mass for the light and strange quarks on several lattice…

High Energy Physics - Lattice · Physics 2018-03-14 J. Gunther , R. Bellwied , S. Borsanyi , Z. Fodor , S. D. Katz , A. Pasztor , C. Ratti

The WHOT-QCD Collaboration is pushing forward a series of lattice studies of QCD at finite temperatures and densities using improved Wilson quarks. Because Wilson-type quarks require more computational resources than the more widely adopted…

High Energy Physics - Lattice · Physics 2012-05-25 Shinji Ejiri , Kazuyuki Kanaya , Takashi Umeda for WHOT-QCD Collaboration

Properties of QCD at finite chemical potential are extracted using Taylor series expansions. The continuum limits of lattice results are presented. The result of expanding the free energy density, ie, the pressure, to 6th order in the…

Nuclear Theory · Physics 2008-11-26 Rajiv Gavai , Sourendu Gupta , Rajarshi Roy

We discuss the Taylor expansion approach to non-zero baryon chemical potential ($\mu_B$) and present results on expanion coefficients of the pressure and energy density up to the 6-th order in $\mu_B$. Calculations have been performed with…

High Energy Physics - Lattice · Physics 2010-01-21 Chuan Miao , Christian Schmidt , for RBC-Bielefeld Collaboration

We present results for the QCD equation of state, quark densities and susceptibilities at nonzero chemical potential, using 2+1 flavor asqtad ensembles with $N_t=4$. The ensembles lie on a trajectory of constant physics for which…

High Energy Physics - Lattice · Physics 2008-11-26 C. Bernard , C. DeTar , Steven Gottlieb , U. M. Heller , J. E. Hetrick , L. Levkova , R. Sugar , D. Toussaint

We present recent results on thermodynamics of QCD with almost physical light quark masses and a physical strange quark mass value. These calculations have been performed with an improved staggerd action especially designed for finite…

High Energy Physics - Lattice · Physics 2008-11-26 Christian Schmidt

We discuss the QCD critical point at finite density through the study of many flavor QCD, in which two light flavors and Nf massive flavors exist. Performing simulations of QCD with two flavors of improved Wilson fermions, we calculate…

High Energy Physics - Lattice · Physics 2015-12-29 Ryo Iwami , Shinji Ejiri , Norikazu Yamada

We present preliminary results for the curvature of the pseudocritical line and susceptibilities in Nf = 2 + 1 flavor QCD. The computations are carried out on lattice sizes of 16x16x16x4, at matching parameters of early work of the…

High Energy Physics - Lattice · Physics 2015-06-15 E. Laermann , F. Meyer , M. P. Lombardo

We present results for the QCD equation of state with nonzero chemical potential using the Taylor expansion method with terms up to sixth order in the expansion. Our calculations are performed on asqtad 2+1 quark flavor lattices at $N_t=4$.

High Energy Physics - Lattice · Physics 2010-11-15 C. Bernard , T. Burch , C. DeTar , L. Levkova , Steven Gottlieb , U. M. Heller , J. E. Hetrick , R. Sugar , D. Toussaint

We summarize the application of derivatives of the QCD pressure, calculated within the framework of lattice QCD, in constructing observables that probe aspects of the QCD phase diagram at physical quark masses. We outline how the behavior…

High Energy Physics - Lattice · Physics 2026-04-02 Sipaz Sharma

The Taylor expansion of thermodynamic observables at a finite baryon chemical potential $\mu_B$ is an oft-used method to circumvent the well-known sign problem of Lattice QCD. Owing to the associated difficulty and limitations of precision…

High Energy Physics - Phenomenology · Physics 2023-02-14 Sabarnya Mitra , Prasad Hegde , Christian Schmidt

We investigate the phase of the quark determinant with finite chemical potential in lattice QCD using both analytic and numerical methods. Applying the winding number expansion and the hopping parameter expansion to the logarithm of the…

High Energy Physics - Lattice · Physics 2013-05-30 Shinji Takeda , Yoshinobu Kuramashi , Akira Ukawa
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